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(6.43) Find the Taylor series for V1 – 2 using powers of x. Prove that this series converges to V1 – 2 for 8 € (-1,0).

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The Taylor Series of V1 - x with center 0:

Taylor Series Taylor series of function f(x) at a is defined as: f(x) = f(a) + f (x – a) + f(a)(x-a)2 + f(a) (x-a) +... 1! Ap

& can written has Taylor sories for Jin in power of n iu as follows بے nn where an ng H n12 ng no anti foro 2[n+i) rakom an a

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